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Toward Variability Characterization and Statistic Models’ Constitution for the Prediction of Exponentially Graded Plates’ Static Response

1
Grupo de Investigação em Modelação e Optimização de Sistemas Multifuncionais (GI-MOSM), ISEL-Instituto Superior de Engenharia de Lisboa, 1959-007 Lisboa, Portugal
2
Grupo de Investigação em Modelação e Optimização de Sistemas Multifuncionais (GI-MOSM), IDMEC-Instituto Superior Técnico, Universidade de Lisboa, 1049-001 Lisboa, Portugal
3
Grupo de Investigação em Modelação e Optimização de Sistemas Multifuncionais (GI-MOSM), Instituto Superior de Engenharia de Lisboa, CEMAPRE, ISEG, Universidade de Lisboa, 1200-781 Lisboa, Portugal
*
Author to whom correspondence should be addressed.
J. Compos. Sci. 2018, 2(4), 59; https://doi.org/10.3390/jcs2040059
Received: 22 July 2018 / Revised: 2 October 2018 / Accepted: 9 October 2018 / Published: 13 October 2018
(This article belongs to the Special Issue The Reliability Design of Advanced Composite Materials)
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Abstract

Functionally graded composite materials may constitute an advantageous alternative to engineering applications, allying a customized tailoring capability to its inherent continuous properties transition. However, these attractive characteristics must account for the uncertainty that affects these materials and their structures’ physical quantities. Therefore, it is important to analyze how this uncertainty will modify the foreseen deterministic response of a structure that is built with these materials, identifying which of the parameters are responsible for a greater impact. To pursue this main objective, the material and geometrical parameters that characterize a plate made of an exponentially graded material are generated according to a random multivariate normal distribution, using the Latin hypercube sampling technique. Then, a set of finite element analyses based on the first-order shear deformation theory are performed to characterize the linear static responses of these plates, which are further correlated to the input parameters. This work also considers the constitution of statistic models in order to allow their use as alternative prediction models. The results show that for the plates that were analyzed, the uncertainty associated with the elasticity modulus of both phases is mainly responsible for the maximum transverse deflection variability. The effectiveness of the statistical models that are built are also shown. View Full-Text
Keywords: functionally graded materials; exponential law; static analysis; parametric uncertainty characterization; response variability; multiple linear regression models functionally graded materials; exponential law; static analysis; parametric uncertainty characterization; response variability; multiple linear regression models
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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MDPI and ACS Style

Rosa, R.D.S.B.; Loja, M.A.R.; Carvalho, A.C.J.V.N. Toward Variability Characterization and Statistic Models’ Constitution for the Prediction of Exponentially Graded Plates’ Static Response. J. Compos. Sci. 2018, 2, 59.

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